Answer:
The triangles can be congruent.
Step-by-step explanation:
They are congruent if proven by SSS: 2 sides are clearly stated that they are congruent due to the marks they have.
The last side can be congruent if the diagonals are congruent in length by proving.
They can also be congeuent due to SAS because there is gonna be alternate interior angles due to the transversal.
Answer:
8x - 10
Step-by-step explanation:
Combine like terms:
2x + 6x - 10
= 8x -10
45.019 i believe space filler
Answer:
The probability is 0.31
Step-by-step explanation:
In this question, we are tasked with calculating the probability that a random plumber called at Denver will charge an amount greater than $86 given the mean and the standard deviation.
Firstly, we calculate the standard score of $86 using the mean and the standard deviation.
Mathematically;
z-score = (x-mean)/SD
where x = 86, mean = 84 and SD = 4
z-score = (86-84)/4 = 2/4 = 0.5
Hence, we want to calculate P(z ≥ 0.5)
Using standard table
P( (z ≥ 0.5) = 1 - P(z ≤ 0.5) = 1 - ( 0.19146 + 0.5) = 0.30854
To the nearest hundredth = 0.31
